{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Batched Smoke\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Batched_Smoke.ipynb)\n",
    "\n",
    "This example runs multiple smoke simulations in parallel, varying inflow positions, rate, and obstacles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install phiflow\n",
    "from phi.jax.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use a batch dimension `setting` to parallelize multiple simulations.\n",
    "All quantities with this dimension vary across the different settings. All quantities without this dimension equal for all settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "domain = Box(x=100, y=100)\n",
    "\n",
    "settings = batch(setting=3)\n",
    "inflow_rate = tensor([.1, .2, .3], settings)\n",
    "inflow_x = tensor([40, 50, 60], settings)\n",
    "obstacle_x = wrap([15, 50, 70], settings)  # this affects the pressure matrix -> use NumPy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "obstacle = Cuboid(vec(x=obstacle_x, y=60), half_size=vec(x=15, y=10))\n",
    "inflow = Sphere(x=inflow_x, y=9.5, radius=5)\n",
    "plot(obstacle, inflow, overlay='args')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From here on, we can copy the simulation code from the [smoke plume](Smoke_Plume.html) demo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def step(v, s, p, dt=1.):\n",
    "    s = advect.mac_cormack(s, v, dt) + inflow_rate * resample(inflow, to=s, soft=True)\n",
    "    buoyancy = resample(s * (0, 0.1), to=v)\n",
    "    v = advect.semi_lagrangian(v, v, dt) + buoyancy * dt\n",
    "    v, p = fluid.make_incompressible(v, obstacle, Solve(x0=p))\n",
    "    return v, s, p\n",
    "\n",
    "v0 = StaggeredGrid(0, 0, domain, x=64, y=64)\n",
    "smoke0 = CenteredGrid(0, ZERO_GRADIENT, domain, x=200, y=200)\n",
    "v_trj, s_trj, p_trj = iterate(step, batch(time=100), v0, smoke0, None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x29841cd0220>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(obstacle, inflow, s_trj, animate='time', overlay='args')"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
